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nucl-thJan 27, 2005
16
citations (OpenAlex)
authors
  • Y. M. Zhao
  • A. Arima
institutions
  • RIKEN
  • Shanghai Jiao Tong University
  • Southeast University
arXiv abstractPDF
paper

Number of Spin I States of Identical Particles

arXiv:nucl-th/0501070 · doi:10.1103/PhysRevC.71.047304

Abstract

In this paper we study the enumeration of number (denoted as DI​) of spin I states for fermions in a single-j shell and bosons with spin l. We show that DI​ can be enumerated by the reduction from SU(n+1) to SO(3). New regularities of DI​ are discerned.

arXiv comment3 pages, no figures. to be published

References in corpus (1)

  • Number of states with fixed angular momentum for identical fermions and bosons

Cited by in corpus (8)

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  • Alternate Derivation of Ginocchio-Haxton relation [(2j+3)/6]
  • J-pairing interaction, number of states, and nine-j sum rules of four identical particles
  • Number of states for nucleons in a single-j shell
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  • Total number of J levels for identical particles in a single-j shell using coefficients of fractional parentage
  • Exact expressions for the number of levels in single-\textit{j} orbits for three, four and five fermions
  • Number of spin-J states and odd-even staggering for identical particles in a single-j shell
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